Numerical method for solving a two-dimensional electrical impedance tomography problem in the case of measurements on part of the outer boundary
DOI10.1134/S0965542514090061zbMath1332.78021OpenAlexW1990430443MaRDI QIDQ889192
Publication date: 6 November 2015
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542514090061
method of boundary integral equationsTikhonov regularizationelectrical impedance tomographypiecewise constant conductivity
Ill-posedness and regularization problems in numerical linear algebra (65F22) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Linear integral equations (45A05)
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- An iterative method for solving the Cauchy problem for elliptic equations
- Numerical solution of the inverse electrocardiography problem with the use of the Tikhonov regularization method
- Numerical methods for some inverse problems of heart electrophysiology
- Calderón's inverse conductivity problem in the plane
- Numerical methods for determining the inhomogeneity boundary in a boundary value problem for Laplace’s equation in a piecewise homogeneous medium
- Numerical identification of discontinuous conductivity coefficients
- Nonlinear integral equations for the inverse electrical impedance problem
- Stability for an Inverse Problem in Potential Theory
- The Inverse Conductivity Problem with One Measurement: Uniqueness for Convex Polyhedra
- Recent progress in electrical impedance tomography
- Numerical implementation of two noniterative methods for locating inclusions by impedance tomography
- The Cauchy problem for Laplace's equation via the conjugate gradient method
- A real time algorithm for the location search of discontinuous conductivities with one measurement
- Electrical impedance tomography
- The layer potential technique for the inverse conductivity problem
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